Модель конкуренции двух биологических видов

independent: {
    t: 0
},
dependent: {
    x: [1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,1.5,  1.25,1,0.75,0.5,0.4,0.3,0.2,0.1,0.03,0.01,     0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,                0.005,0.01,0.02,0.03,0.1,0.2,0.3,0.4,0.5,0.75,1,1.25,1.5,0.005],
    y: [0.01,0.02,0.03,0.1,0.2,0.3,0.4,0.5,0.75,1,1.25,1.5,2,2.5,3,   3,3,3,3,3,3,3,3,3,3,                        3,2.5,2,1.5,1,0.75,0.5,0.4,0.3,0.2,0.1,0.05,0.04,0.03,0.02,0.01,                                0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005,0.005],
},
parameters: {
    a: {
        min: 0,
        max: 3,
        value: 1
    },
    b: {
        min: 0,
        max: 3,
        value: 2
    },
},
derivatives: {
    dx_dt: 'x-b*x*y-x*x',
    dy_dt: 'a*y-b*x*y-y*y'
},
param_charts: [
  [
    { func: 'x(a)', equation: '0',               bounds: { min: 0, max: 'Math.min(b,1/b)' }, options: {lines: { lineWidth: 1}, color: 'green' } },
    { func: 'x(a)', equation: '0',               bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 1}, color: 'green' } },
    { func: 'x(a)', equation: '0',               bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 5}, color: 'green' } },
    { func: 'x(a)', equation: '0',               bounds: { min: 'Math.max(b,1/b)', max: 3 }, options: {lines: { lineWidth: 5}, color: 'green' } },
    { func: 'x(a)', equation: '1',               bounds: { min: 0, max: 'Math.min(b,1/b)' }, options: {lines: { lineWidth: 5}, color: 'blue'  } },
    { func: 'x(a)', equation: '1',               bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 1}, color: 'blue'  } },
    { func: 'x(a)', equation: '1',               bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 5}, color: 'blue'  } },
    { func: 'x(a)', equation: '1',               bounds: { min: 'Math.max(b,1/b)', max: 3 }, options: {lines: { lineWidth: 1}, color: 'blue'  } },
    { func: 'x(a)', equation: '(1-a*b)/(1-b*b)', bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 5}, color: 'black' } },
    { func: 'x(a)', equation: '(1-a*b)/(1-b*b)', bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 1}, color: 'black' } },
  ],
  [
    { func: 'y(a)', equation: 'a',               bounds: { min: 0, max: 'Math.min(b,1/b)' }, options: {lines: { lineWidth: 1}, color: 'green' } },
    { func: 'y(a)', equation: 'a',               bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 1}, color: 'green' } },
    { func: 'y(a)', equation: 'a',               bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 5}, color: 'green' } },
    { func: 'y(a)', equation: 'a',               bounds: { min: 'Math.max(b,1/b)', max: 3 }, options: {lines: { lineWidth: 5}, color: 'green' } },
    { func: 'y(a)', equation: '0',               bounds: { min: 0, max: 'Math.min(b,1/b)' }, options: {lines: { lineWidth: 5}, color: 'blue'  } },
    { func: 'y(a)', equation: '0',               bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 1}, color: 'blue'  } },
    { func: 'y(a)', equation: '0',               bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 5}, color: 'blue'  } },
    { func: 'y(a)', equation: '0',               bounds: { min: 'Math.max(b,1/b)', max: 3 }, options: {lines: { lineWidth: 1}, color: 'blue'  } },
    { func: 'y(a)', equation: '(a-b)/(1-b*b)',   bounds: { min: 'b', max: '1/b' },           options: {lines: { lineWidth: 5}, color: 'black' } },
    { func: 'y(a)', equation: '(a-b)/(1-b*b)',   bounds: { min: '1/b', max: 'b' },           options: {lines: { lineWidth: 1}, color: 'black' } },
  ],
],
limit_points: {
    x: '[0,0,(((a-1)*(a-1)+(b-1)*(b-1)))/((a-1)*(a-1)+(b-1)*(b-1)),(1-a*b)/(1-b*b)]',
    y: '[0,a*(((a-1)*(a-1)+(b-1)*(b-1)))/((a-1)*(a-1)+(b-1)*(b-1)),0,(a-b)/(1-b*b)]',
},
solver: {
    step: 0.1,
    accuracy: 0.01,
    autostop: 25,
}

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